I would like to perform a numeric differentiation in C++. For type safety, I’d like to use
boost::units to avoid mixing units but also
boost::units::absolute to avoid mixing relative and absolute units.
A minimal example is to calculate the velocity as a function of the change in position divided by the change in time:
v = dx/dt, which can be approximated as
(x1 - x0)/(t1 - t0).
In this example
v has an absolute unit (velocity),
dt relative ones (distance / duration).
boost::units derives the correct unit if we simply take relative units everywhere,
static_assert(std::is_same<boost::units::divide_typeof_helper<boost::units::si::length, boost::units::si::time>::type, boost::units::si::velocity>::value);
static_assert fails if we want the result of our division being an absolute velocity:
static_assert(std::is_same<boost::units::divide_typeof_helper<boost::units::si::length, boost::units::si::time>::type, boost::units::absolute<boost::units::si::velocity>>::value);
Am I doing a wrong assumption that the result of dividing two relative units should always yield an absolute one? Or is this an error in the implementation of
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